Extension of Contraction Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

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A. Ramachandran, M. Jeyaraman, M. Suganthi


This work aims to extend the idea of Banach contraction principle to intuitionistic generalized fuzzy cone metric spaces.  We inherit the existing ideas to bring out new definitions in these spaces. This work extends the contractive conditions of self-mappings by having the presence of all the possible restrictions.  This extension is up to the limit in a linear way it can be extended.  We construct some contraction theorems for the generalized intuitionistic fuzzy cone metric spaces.  We prove the existence of fixed points and their uniqueness of self-mappings under the extended contractive conditions.

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